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What is the Least Common Multiple of 76651 and 76655?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 76651 and 76655 is 5875682405.

LCM(76651,76655) = 5875682405

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Least Common Multiple of 76651 and 76655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76651 and 76655, than apply into the LCM equation.

GCF(76651,76655) = 1
LCM(76651,76655) = ( 76651 × 76655) / 1
LCM(76651,76655) = 5875682405 / 1
LCM(76651,76655) = 5875682405

Least Common Multiple (LCM) of 76651 and 76655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76651 and 76655. First we will calculate the prime factors of 76651 and 76655.

Prime Factorization of 76651

Prime factors of 76651 are 76651. Prime factorization of 76651 in exponential form is:

76651 = 766511

Prime Factorization of 76655

Prime factors of 76655 are 5, 15331. Prime factorization of 76655 in exponential form is:

76655 = 51 × 153311

Now multiplying the highest exponent prime factors to calculate the LCM of 76651 and 76655.

LCM(76651,76655) = 766511 × 51 × 153311
LCM(76651,76655) = 5875682405